tablice rozkładu t Studenta

Transkrypt

tablice rozkładu t Studenta
Tablice rozkładu t-Studenta
α
k
1
2
3
4
5
0,900
0,158
0,142
0,137
0,134
0,132
0,800
0,325
0,289
0,277
0,271
0,267
0,700
0,510
0,445
0,424
0,414
0,408
0,600
0,727
0,617
0,584
0,569
0,559
0,500
1,000
0,816
0,765
0,741
0,727
0,400
1,376
1,061
0,978
0,941
0,920
0,300
1,963
1,386
1,250
1,190
1,156
0,200
3,078
1,886
1,638
1,533
1,476
0,100
6,314
2,920
2,353
2,132
2,015
0,090
7,026
3,104
2,471
2,226
2,098
0,080
7,916
3,320
2,605
2,333
2,191
0,070 0,060 0,050 0,040 0,030 0,020 0,010
0,001
9,058 10,579 12,706 15,895 21,205 31,821 63,657 636,619
3,578 3,896 4,303 4,849 5,643 6,965 9,925 31,599
2,763 2,951 3,182 3,482 3,896 4,541 5,841 12,924
2,456 2,601 2,776 2,999 3,298 3,747 4,604
8,610
2,297 2,422 2,571 2,757 3,003 3,365 4,032
6,869
6
7
8
9
10
0,131
0,130
0,130
0,129
0,129
0,265
0,263
0,262
0,261
0,260
0,404
0,402
0,399
0,398
0,397
0,553
0,549
0,546
0,543
0,542
0,718
0,711
0,706
0,703
0,700
0,906
0,896
0,889
0,883
0,879
1,134
1,119
1,108
1,100
1,093
1,440
1,415
1,397
1,383
1,372
1,943
1,895
1,860
1,833
1,812
2,019
1,966
1,928
1,899
1,877
2,104
2,046
2,004
1,973
1,948
2,201
2,136
2,090
2,055
2,028
2,313
2,241
2,189
2,150
2,120
2,447
2,365
2,306
2,262
2,228
2,612
2,517
2,449
2,398
2,359
2,829
2,715
2,634
2,574
2,527
3,143
2,998
2,896
2,821
2,764
3,707
3,499
3,355
3,250
3,169
5,959
5,408
5,041
4,781
4,587
11
12
13
14
15
0,129
0,128
0,128
0,128
0,128
0,260
0,259
0,259
0,258
0,258
0,396
0,395
0,394
0,393
0,393
0,540
0,539
0,538
0,537
0,536
0,697
0,695
0,694
0,692
0,691
0,876
0,873
0,870
0,868
0,866
1,088
1,083
1,079
1,076
1,074
1,363
1,356
1,350
1,345
1,341
1,796
1,782
1,771
1,761
1,753
1,859
1,844
1,832
1,821
1,812
1,928
1,912
1,899
1,887
1,878
2,007
1,989
1,974
1,962
1,951
2,096
2,076
2,060
2,046
2,034
2,201
2,179
2,160
2,145
2,131
2,328
2,303
2,282
2,264
2,249
2,491
2,461
2,436
2,415
2,397
2,718
2,681
2,650
2,624
2,602
3,106
3,055
3,012
2,977
2,947
4,437
4,318
4,221
4,140
4,073
16
17
18
19
20
0,128
0,128
0,127
0,127
0,127
0,258
0,257
0,257
0,257
0,257
0,392
0,392
0,392
0,391
0,391
0,535
0,534
0,534
0,533
0,533
0,690
0,689
0,688
0,688
0,687
0,865
0,863
0,862
0,861
0,860
1,071
1,069
1,067
1,066
1,064
1,337
1,333
1,330
1,328
1,325
1,746
1,740
1,734
1,729
1,725
1,805
1,798
1,792
1,786
1,782
1,869
1,862
1,855
1,850
1,844
1,942
1,934
1,926
1,920
1,914
2,024
2,015
2,007
2,000
1,994
2,120
2,110
2,101
2,093
2,086
2,235
2,224
2,214
2,205
2,197
2,382
2,368
2,356
2,346
2,336
2,583
2,567
2,552
2,539
2,528
2,921
2,898
2,878
2,861
2,845
4,015
3,965
3,922
3,883
3,850
21
22
23
24
25
k
0,127
0,127
0,127
0,127
0,127
0,900
0,257
0,256
0,256
0,256
0,256
0,800
0,391
0,390
0,390
0,390
0,390
0,700
0,532
0,532
0,532
0,531
0,531
0,600
0,686
0,686
0,685
0,685
0,684
0,500
0,859
0,858
0,858
0,857
0,856
0,400
1,063
1,061
1,060
1,059
1,058
0,300
1,323
1,321
1,319
1,318
1,316
0,200
1,721
1,717
1,714
1,711
1,708
0,100
1,777
1,773
1,770
1,767
1,764
0,090
1,840
1,835
1,832
1,828
1,825
0,080
1,909
1,905
1,900
1,896
1,893
0,070
1,988
1,983
1,978
1,974
1,970
0,060
2,080
2,074
2,069
2,064
2,060
0,050
2,189
2,183
2,177
2,172
2,167
0,040
2,328
2,320
2,313
2,307
2,301
0,030
2,518
2,508
2,500
2,492
2,485
0,020
2,831
2,819
2,807
2,797
2,787
0,010
3,819
3,792
3,768
3,745
3,725
0,001
k
26
27
28
29
30
0,900
0,127
0,127
0,127
0,127
0,127
0,800
0,256
0,256
0,256
0,256
0,256
0,700
0,390
0,389
0,389
0,389
0,389
0,600
0,531
0,531
0,530
0,530
0,530
0,500
0,684
0,684
0,683
0,683
0,683
0,400
0,856
0,855
0,855
0,854
0,854
0,300
1,058
1,057
1,056
1,055
1,055
0,200
1,315
1,314
1,313
1,311
1,310
0,100
1,706
1,703
1,701
1,699
1,697
0,090
1,761
1,758
1,756
1,754
1,752
0,080
1,822
1,819
1,817
1,814
1,812
0,070
1,890
1,887
1,884
1,881
1,879
0,060
1,967
1,963
1,960
1,957
1,955
0,050
2,056
2,052
2,048
2,045
2,042
0,040
2,162
2,158
2,154
2,150
2,147
0,030
2,296
2,291
2,286
2,282
2,278
0,020
2,479
2,473
2,467
2,462
2,457
0,010
2,779
2,771
2,763
2,756
2,750
0,001
3,707
3,690
3,674
3,659
3,646
31
32
33
34
35
0,127
0,127
0,127
0,127
0,127
0,256
0,255
0,255
0,255
0,255
0,389
0,389
0,389
0,389
0,388
0,530
0,530
0,530
0,529
0,529
0,682
0,682
0,682
0,682
0,682
0,853
0,853
0,853
0,852
0,852
1,054
1,054
1,053
1,052
1,052
1,309
1,309
1,308
1,307
1,306
1,696
1,694
1,692
1,691
1,690
1,750
1,748
1,747
1,745
1,744
1,810
1,808
1,806
1,805
1,803
1,877
1,875
1,873
1,871
1,869
1,952
1,950
1,948
1,946
1,944
2,040
2,037
2,035
2,032
2,030
2,144
2,141
2,138
2,136
2,133
2,275
2,271
2,268
2,265
2,262
2,453
2,449
2,445
2,441
2,438
2,744
2,738
2,733
2,728
2,724
3,633
3,622
3,611
3,601
3,591
36
37
38
39
40
0,127
0,127
0,127
0,126
0,126
0,255
0,255
0,255
0,255
0,255
0,388
0,388
0,388
0,388
0,388
0,529
0,529
0,529
0,529
0,529
0,681
0,681
0,681
0,681
0,681
0,852
0,851
0,851
0,851
0,851
1,052
1,051
1,051
1,050
1,050
1,306
1,305
1,304
1,304
1,303
1,688
1,687
1,686
1,685
1,684
1,742
1,741
1,740
1,739
1,737
1,802
1,800
1,799
1,798
1,796
1,867
1,866
1,864
1,863
1,862
1,942
1,940
1,939
1,937
1,936
2,028
2,026
2,024
2,023
2,021
2,131
2,129
2,127
2,125
2,123
2,260
2,257
2,255
2,252
2,250
2,434
2,431
2,429
2,426
2,423
2,719
2,715
2,712
2,708
2,704
3,582
3,574
3,566
3,558
3,551
41
42
43
44
45
0,126
0,126
0,126
0,126
0,126
0,255
0,255
0,255
0,255
0,255
0,388
0,388
0,388
0,388
0,388
0,529
0,528
0,528
0,528
0,528
0,681
0,680
0,680
0,680
0,680
0,850
0,850
0,850
0,850
0,850
1,050
1,049
1,049
1,049
1,049
1,303
1,302
1,302
1,301
1,301
1,683
1,682
1,681
1,680
1,679
1,736
1,735
1,734
1,734
1,733
1,795
1,794
1,793
1,792
1,791
1,860
1,859
1,858
1,857
1,856
1,934
1,933
1,932
1,931
1,929
2,020
2,018
2,017
2,015
2,014
2,121
2,120
2,118
2,116
2,115
2,248
2,246
2,244
2,243
2,241
2,421
2,418
2,416
2,414
2,412
2,701
2,698
2,695
2,692
2,690
3,544
3,538
3,532
3,526
3,520
46
47
48
49
50
0,126
0,126
0,126
0,126
0,126
0,255
0,255
0,255
0,255
0,255
0,388
0,388
0,388
0,388
0,388
0,528
0,528
0,528
0,528
0,528
0,680
0,680
0,680
0,680
0,679
0,850
0,849
0,849
0,849
0,849
1,048
1,048
1,048
1,048
1,047
1,300
1,300
1,299
1,299
1,299
1,679
1,678
1,677
1,677
1,676
1,732
1,731
1,730
1,730
1,729
1,790
1,789
1,789
1,788
1,787
1,855
1,854
1,853
1,852
1,852
1,928
1,927
1,926
1,925
1,924
2,013
2,012
2,011
2,010
2,009
2,114
2,112
2,111
2,110
2,109
2,239
2,238
2,237
2,235
2,234
2,410
2,408
2,407
2,405
2,403
2,687
2,685
2,682
2,680
2,678
3,515
3,510
3,505
3,500
3,496
51
52
53
54
55
k
0,126
0,126
0,126
0,126
0,126
0,900
0,255
0,255
0,255
0,255
0,255
0,800
0,387
0,387
0,387
0,387
0,387
0,700
0,528
0,528
0,528
0,528
0,527
0,600
0,679
0,679
0,679
0,679
0,679
0,500
0,849
0,849
0,848
0,848
0,848
0,400
1,047
1,047
1,047
1,046
1,046
0,300
1,298
1,298
1,298
1,297
1,297
0,200
1,675
1,675
1,674
1,674
1,673
0,100
1,728
1,728
1,727
1,726
1,726
0,090
1,786
1,786
1,785
1,784
1,784
0,080
1,851
1,850
1,849
1,849
1,848
0,070
1,924
1,923
1,922
1,921
1,920
0,060
2,008
2,007
2,006
2,005
2,004
0,050
2,108
2,107
2,106
2,105
2,104
0,040
2,233
2,231
2,230
2,229
2,228
0,030
2,402
2,400
2,399
2,397
2,396
0,020
2,676
2,674
2,672
2,670
2,668
0,010
3,492
3,488
3,484
3,480
3,476
0,001
k
56
57
58
59
60
0,900
0,126
0,126
0,126
0,126
0,126
0,800
0,255
0,255
0,255
0,254
0,254
0,700
0,387
0,387
0,387
0,387
0,387
0,600
0,527
0,527
0,527
0,527
0,527
0,500
0,679
0,679
0,679
0,679
0,679
0,400
0,848
0,848
0,848
0,848
0,848
0,300
1,046
1,046
1,046
1,046
1,045
0,200
1,297
1,297
1,296
1,296
1,296
0,100
1,673
1,672
1,672
1,671
1,671
0,090
1,725
1,725
1,724
1,724
1,723
0,080
1,783
1,782
1,782
1,781
1,781
0,070
1,847
1,847
1,846
1,845
1,845
0,060
1,920
1,919
1,918
1,918
1,917
0,050
2,003
2,002
2,002
2,001
2,000
0,040
2,103
2,102
2,101
2,100
2,099
0,030
2,227
2,226
2,225
2,224
2,223
0,020
2,395
2,394
2,392
2,391
2,390
0,010
2,667
2,665
2,663
2,662
2,660
0,001
3,473
3,470
3,466
3,463
3,460
61
62
63
64
65
0,126
0,126
0,126
0,126
0,126
0,254
0,254
0,254
0,254
0,254
0,387
0,387
0,387
0,387
0,387
0,527
0,527
0,527
0,527
0,527
0,679
0,678
0,678
0,678
0,678
0,848
0,847
0,847
0,847
0,847
1,045
1,045
1,045
1,045
1,045
1,296
1,295
1,295
1,295
1,295
1,670
1,670
1,669
1,669
1,669
1,723
1,722
1,722
1,721
1,721
1,780
1,780
1,779
1,779
1,778
1,844
1,844
1,843
1,843
1,842
1,916
1,916
1,915
1,915
1,914
2,000
1,999
1,998
1,998
1,997
2,099
2,098
2,097
2,096
2,096
2,222
2,221
2,220
2,220
2,219
2,389
2,388
2,387
2,386
2,385
2,659
2,657
2,656
2,655
2,654
3,457
3,454
3,452
3,449
3,447
66
67
68
69
70
0,126
0,126
0,126
0,126
0,126
0,254
0,254
0,254
0,254
0,254
0,387
0,387
0,387
0,387
0,387
0,527
0,527
0,527
0,527
0,527
0,678
0,678
0,678
0,678
0,678
0,847
0,847
0,847
0,847
0,847
1,045
1,045
1,044
1,044
1,044
1,295
1,294
1,294
1,294
1,294
1,668
1,668
1,668
1,667
1,667
1,721
1,720
1,720
1,720
1,719
1,778
1,778
1,777
1,777
1,776
1,842
1,841
1,841
1,840
1,840
1,914
1,913
1,913
1,912
1,912
1,997
1,996
1,995
1,995
1,994
2,095
2,095
2,094
2,093
2,093
2,218
2,217
2,217
2,216
2,215
2,384
2,383
2,382
2,382
2,381
2,652
2,651
2,650
2,649
2,648
3,444
3,442
3,439
3,437
3,435
71
72
73
74
75
0,126
0,126
0,126
0,126
0,126
0,254
0,254
0,254
0,254
0,254
0,387
0,387
0,387
0,387
0,387
0,527
0,527
0,527
0,527
0,527
0,678
0,678
0,678
0,678
0,678
0,847
0,847
0,847
0,847
0,846
1,044
1,044
1,044
1,044
1,044
1,294
1,293
1,293
1,293
1,293
1,667
1,666
1,666
1,666
1,665
1,719
1,719
1,718
1,718
1,718
1,776
1,776
1,775
1,775
1,775
1,840
1,839
1,839
1,839
1,838
1,911
1,911
1,910
1,910
1,910
1,994
1,993
1,993
1,993
1,992
2,092
2,092
2,091
2,091
2,090
2,215
2,214
2,213
2,213
2,212
2,380
2,379
2,379
2,378
2,377
2,647
2,646
2,645
2,644
2,643
3,433
3,431
3,429
3,427
3,425
76
77
78
79
80
0,126
0,126
0,126
0,126
0,126
0,254
0,254
0,254
0,254
0,254
0,387
0,387
0,387
0,387
0,387
0,527
0,527
0,527
0,527
0,526
0,678
0,678
0,678
0,678
0,678
0,846
0,846
0,846
0,846
0,846
1,044
1,043
1,043
1,043
1,043
1,293
1,293
1,292
1,292
1,292
1,665
1,665
1,665
1,664
1,664
1,717
1,717
1,717
1,716
1,716
1,774
1,774
1,774
1,773
1,773
1,838
1,837
1,837
1,837
1,836
1,909
1,909
1,909
1,908
1,908
1,992
1,991
1,991
1,990
1,990
2,090
2,089
2,089
2,088
2,088
2,212
2,211
2,211
2,210
2,209
2,376
2,376
2,375
2,374
2,374
2,642
2,641
2,640
2,640
2,639
3,423
3,421
3,420
3,418
3,416
81
82
83
84
85
k
0,126
0,126
0,126
0,126
0,126
0,900
0,254
0,254
0,254
0,254
0,254
0,800
0,387
0,387
0,387
0,387
0,387
0,700
0,526
0,526
0,526
0,526
0,526
0,600
0,678
0,677
0,677
0,677
0,677
0,500
0,846
0,846
0,846
0,846
0,846
0,400
1,043
1,043
1,043
1,043
1,043
0,300
1,292
1,292
1,292
1,292
1,292
0,200
1,664
1,664
1,663
1,663
1,663
0,100
1,716
1,716
1,715
1,715
1,715
0,090
1,773
1,773
1,772
1,772
1,772
0,080
1,836
1,836
1,836
1,835
1,835
0,070
1,908
1,907
1,907
1,907
1,906
0,060
1,990
1,989
1,989
1,989
1,988
0,050
2,087
2,087
2,087
2,086
2,086
0,040
2,209
2,209
2,208
2,208
2,207
0,030
2,373
2,373
2,372
2,372
2,371
0,020
2,638
2,637
2,636
2,636
2,635
0,010
3,415
3,413
3,412
3,410
3,409
0,001
k
86
87
88
89
90
0,900
0,126
0,126
0,126
0,126
0,126
0,800
0,254
0,254
0,254
0,254
0,254
0,700
0,387
0,387
0,387
0,387
0,387
0,600
0,526
0,526
0,526
0,526
0,526
0,500
0,677
0,677
0,677
0,677
0,677
0,400
0,846
0,846
0,846
0,846
0,846
0,300
1,043
1,043
1,043
1,043
1,042
0,200
1,291
1,291
1,291
1,291
1,291
0,100
1,663
1,663
1,662
1,662
1,662
0,090
1,715
1,714
1,714
1,714
1,714
0,080
1,772
1,771
1,771
1,771
1,771
0,070
1,835
1,834
1,834
1,834
1,834
0,060
1,906
1,906
1,905
1,905
1,905
0,050
1,988
1,988
1,987
1,987
1,987
0,040
2,085
2,085
2,085
2,084
2,084
0,030
2,207
2,206
2,206
2,205
2,205
0,020
2,370
2,370
2,369
2,369
2,368
0,010
2,634
2,634
2,633
2,632
2,632
0,001
3,407
3,406
3,405
3,403
3,402
91
92
93
94
95
0,126
0,126
0,126
0,126
0,126
0,254
0,254
0,254
0,254
0,254
0,387
0,387
0,387
0,386
0,386
0,526
0,526
0,526
0,526
0,526
0,677
0,677
0,677
0,677
0,677
0,846
0,846
0,846
0,845
0,845
1,042
1,042
1,042
1,042
1,042
1,291
1,291
1,291
1,291
1,291
1,662
1,662
1,661
1,661
1,661
1,714
1,713
1,713
1,713
1,713
1,770
1,770
1,770
1,770
1,770
1,833
1,833
1,833
1,833
1,833
1,905
1,904
1,904
1,904
1,904
1,986
1,986
1,986
1,986
1,985
2,084
2,083
2,083
2,083
2,082
2,205
2,204
2,204
2,204
2,203
2,368
2,368
2,367
2,367
2,366
2,631
2,630
2,630
2,629
2,629
3,401
3,399
3,398
3,397
3,396
96
97
98
99
100
0,126
0,126
0,126
0,126
0,126
0,254
0,254
0,254
0,254
0,254
0,386
0,386
0,386
0,386
0,386
0,526
0,526
0,526
0,526
0,526
0,677
0,677
0,677
0,677
0,677
0,845
0,845
0,845
0,845
0,845
1,042
1,042
1,042
1,042
1,042
1,290
1,290
1,290
1,290
1,290
1,661
1,661
1,661
1,660
1,660
1,713
1,712
1,712
1,712
1,712
1,769
1,769
1,769
1,769
1,769
1,832
1,832
1,832
1,832
1,832
1,903
1,903
1,903
1,903
1,902
1,985
1,985
1,984
1,984
1,984
2,082
2,082
2,081
2,081
2,081
2,203
2,202
2,202
2,202
2,201
2,366
2,365
2,365
2,365
2,364
2,628
2,627
2,627
2,626
2,626
3,395
3,394
3,393
3,392
3,390
101
102
103
104
105
0,126
0,126
0,126
0,126
0,126
0,254
0,254
0,254
0,254
0,254
0,386
0,386
0,386
0,386
0,386
0,526
0,526
0,526
0,526
0,526
0,677
0,677
0,677
0,677
0,677
0,845
0,845
0,845
0,845
0,845
1,042
1,042
1,042
1,042
1,042
1,290
1,290
1,290
1,290
1,290
1,660
1,660
1,660
1,660
1,659
1,712
1,712
1,711
1,711
1,711
1,768
1,768
1,768
1,768
1,768
1,831
1,831
1,831
1,831
1,831
1,902
1,902
1,902
1,902
1,901
1,984
1,983
1,983
1,983
1,983
2,081
2,080
2,080
2,080
2,080
2,201
2,201
2,201
2,200
2,200
2,364
2,363
2,363
2,363
2,362
2,625
2,625
2,624
2,624
2,623
3,389
3,388
3,388
3,387
3,386
106
107
108
109
110
0,126
0,126
0,126
0,126
0,126
0,254
0,254
0,254
0,254
0,254
0,386
0,386
0,386
0,386
0,386
0,526
0,526
0,526
0,526
0,526
0,677
0,677
0,677
0,677
0,677
0,845
0,845
0,845
0,845
0,845
1,042
1,041
1,041
1,041
1,041
1,290
1,290
1,289
1,289
1,289
1,659
1,659
1,659
1,659
1,659
1,711
1,711
1,711
1,711
1,710
1,768
1,767
1,767
1,767
1,767
1,830
1,830
1,830
1,830
1,830
1,901
1,901
1,901
1,901
1,900
1,983
1,982
1,982
1,982
1,982
2,079
2,079
2,079
2,079
2,078
2,200
2,199
2,199
2,199
2,199
2,362
2,362
2,361
2,361
2,361
2,623
2,623
2,622
2,622
2,621
3,385
3,384
3,383
3,382
3,381
111
112
113
114
115
k
0,126
0,126
0,126
0,126
0,126
0,900
0,254
0,254
0,254
0,254
0,254
0,800
0,386
0,386
0,386
0,386
0,386
0,700
0,526
0,526
0,526
0,526
0,526
0,600
0,677
0,677
0,677
0,677
0,677
0,500
0,845
0,845
0,845
0,845
0,845
0,400
1,041
1,041
1,041
1,041
1,041
0,300
1,289
1,289
1,289
1,289
1,289
0,200
1,659
1,659
1,658
1,658
1,658
0,100
1,710
1,710
1,710
1,710
1,710
0,090
1,767
1,767
1,767
1,766
1,766
0,080
1,830
1,829
1,829
1,829
1,829
0,070
1,900
1,900
1,900
1,900
1,900
0,060
1,982
1,981
1,981
1,981
1,981
0,050
2,078
2,078
2,078
2,078
2,077
0,040
2,198
2,198
2,198
2,198
2,197
0,030
2,360
2,360
2,360
2,360
2,359
0,020
2,621
2,620
2,620
2,620
2,619
0,010
3,380
3,380
3,379
3,378
3,377
0,001